Seconds Of Arc to Milliradians Conversion

Enter the angle in seconds of arc below to get the value converted to milliradians.

Results in Milliradians:
Loading content.
1 arcsec = 0.004848 mrad

How to Convert Seconds Of Arc to Milliradians

Protractors are often used to measure angle

To convert a second of arc measurement to a milliradian measurement, multiply the angle by the conversion ratio.

Since one second of arc is equal to 0.004848 milliradians, you can use this simple formula to convert:

milliradians = seconds of arc × 0.004848

The angle in milliradians is equal to the seconds of arc multiplied by 0.004848.

For example, here's how to convert 500 seconds of arc to milliradians using the formula above.
500" = (500 × 0.004848) = 2.424068 mrad

Seconds of arc and milliradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

Seconds Of Arc

The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.

A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as arcsec, and are also sometimes abbreviated as asec. For example, 1 second of arc can be written as 1 arcsec or 1 asec.

The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.


A milliradian is equal to 1/1,000 of a radian. One degree is equal to 0.0573 milliradians and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for 10-3. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as mrad; for example, 1 milliradian can be written as 1 mrad.

Second Of Arc to Milliradian Conversion Table

Second of arc measurements converted to milliradians
Seconds Of Arc Milliradians
1" 0.004848 mrad
2" 0.009696 mrad
3" 0.014544 mrad
4" 0.019393 mrad
5" 0.024241 mrad
6" 0.029089 mrad
7" 0.033937 mrad
8" 0.038785 mrad
9" 0.043633 mrad
10" 0.048481 mrad
20" 0.096963 mrad
30" 0.145444 mrad
40" 0.193925 mrad
50" 0.242407 mrad
60" 0.290888 mrad
70" 0.33937 mrad
80" 0.387851 mrad
90" 0.436332 mrad
100" 0.484814 mrad
200" 0.969627 mrad
300" 1.4544 mrad
400" 1.9393 mrad
500" 2.4241 mrad
600" 2.9089 mrad
700" 3.3937 mrad
800" 3.8785 mrad
900" 4.3633 mrad
1,000" 4.8481 mrad